Department of Applied Physics, Eindhoven University of Technology, 5600 MB, Eindhoven, The Netherlands.
Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB, Eindhoven, The Netherlands.
Sci Rep. 2020 Jul 15;10(1):11653. doi: 10.1038/s41598-020-68287-6.
We investigate in real-life conditions and with very high accuracy the dynamics of body rotation, or yawing, of walking pedestrians-a highly complex task due to the wide variety in shapes, postures and walking gestures. We propose a novel measurement method based on a deep neural architecture that we train on the basis of generic physical properties of the motion of pedestrians. Specifically, we leverage on the strong statistical correlation between individual velocity and body orientation: the velocity direction is typically orthogonal with respect to the shoulder line. We make the reasonable assumption that this approximation, although instantaneously slightly imperfect, is correct on average. This enables us to use velocity data as training labels for a highly-accurate point-estimator of individual orientation, that we can train with no dedicated annotation labor. We discuss the measurement accuracy and show the error scaling, both on synthetic and real-life data: we show that our method is capable of estimating orientation with an error as low as [Formula: see text]. This tool opens up new possibilities in the studies of human crowd dynamics where orientation is key. By analyzing the dynamics of body rotation in real-life conditions, we show that the instantaneous velocity direction can be described by the combination of orientation and a random delay, where randomness is provided by an Ornstein-Uhlenbeck process centered on an average delay of [Formula: see text]. Quantifying these dynamics could have only been possible thanks to a tool as precise as that proposed.
我们在真实条件下以非常高的精度研究了行走行人的身体旋转(偏航)动力学,这是一项非常复杂的任务,因为行人的形状、姿势和行走姿势多种多样。我们提出了一种基于深度神经网络架构的新测量方法,该方法基于行人运动的通用物理特性进行训练。具体来说,我们利用个体速度和身体方向之间的强统计相关性:速度方向通常与肩部线正交。我们做出了合理的假设,即虽然这种近似在瞬间略有不完美,但平均来说是正确的。这使我们能够使用速度数据作为个体方向的高度精确点估计器的训练标签,而无需专门的注释工作即可进行训练。我们讨论了测量精度并展示了误差缩放,包括在合成数据和真实生活数据上:我们表明,我们的方法能够以低至[公式:见文本]的误差来估计方向。该工具在人体群体动力学研究中开辟了新的可能性,其中方向是关键。通过分析真实条件下的身体旋转动力学,我们表明瞬时速度方向可以通过方向和随机延迟的组合来描述,其中随机性由以平均延迟[公式:见文本]为中心的 Ornstein-Uhlenbeck 过程提供。只有借助像我们提出的那样精确的工具才能量化这些动态。